14.6=42t+2(-9t+3.3)

Solution for 14.6=42t+2(-9t+3.3) equation:

Simplifying
14.6 = 42t + 2(-9t + 3.3)

Reorder the terms:
14.6 = 42t + 2(3.3 + -9t)
14.6 = 42t + (3.3 * 2 + -9t * 2)
14.6 = 42t + (6.6 + -18t)

Reorder the terms:
14.6 = 6.6 + 42t + -18t

Combine like terms: 42t + -18t = 24t
14.6 = 6.6 + 24t

Solving
14.6 = 6.6 + 24t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-24t' to each side of the equation.
14.6 + -24t = 6.6 + 24t + -24t

Combine like terms: 24t + -24t = 0
14.6 + -24t = 6.6 + 0
14.6 + -24t = 6.6

Add '-14.6' to each side of the equation.
14.6 + -14.6 + -24t = 6.6 + -14.6

Combine like terms: 14.6 + -14.6 = 0.0
0.0 + -24t = 6.6 + -14.6
-24t = 6.6 + -14.6

Combine like terms: 6.6 + -14.6 = -8
-24t = -8

Divide each side by '-24'.
t = 0.3333333333

Simplifying
t = 0.3333333333